NORMALITY OF REES ALGEBRAS OF GENERALIZED MIXED PRODUCT IDEALS.

Let K be a field and K[x₁, x₂] the polynomial ring in two variables over K with each xi of degree 1. Let L be the generalized mixed product ideal induced by a monomial ideal I ⊂ K[x₁, x₂], where the ideals substituting the monomials in I are squarefree Veronese ideals. In this paper, we study the integral closure of L, and the normality of R(L), the Rees algebra of L. Furthermore, we give a geometric description of the integral closure of R(L). [ABSTRACT FROM AUTHOR]